# Boat (drawing)

An example of Boat[1]

Boat is a set of boat-like works of mathematical art introduced by mathematical artist Hamid Naderi Yeganeh.[2][3]

The work is defined by trigonometric functions. One instance is composed of 2000 line segments where for each $k=1, 2, 3, \ldots , 2000$ the endpoints of the k-th line segment are:

$\left(\cos\left(\frac{6\pi k}{2000}\right)-i\cos\left(\frac{12\pi k}{2000}\right)\right)e^{\frac{3\pi i}{4}}$

and

$\left(\sin\left(\frac{4\pi k}{2000}+\frac{\pi}{8}\right)+i\sin\left(\frac{2\pi k}{2000}+\frac{\pi}{3}\right)\right)e^{\frac{3\pi i}{4}}$.[4][5][6]

## References

1. ""Boat," by Hamid Naderi Yeganeh". American Mathematical Society. September 16, 2015. Retrieved October 9, 2015.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
2. "Mathematical Concepts Illustrated by Hamid Naderi Yeganeh". American Mathematical Society. November 2014. Retrieved October 9, 2015.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
3. Bellos, Alex (February 24, 2015). "Catch of the day: mathematician nets weird, complex fish". The Guardian.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
4. Naderi Yeganeh, Hamid (September 11, 2015). "Importing Things From the Real World Into the Territory of Mathematics!". Huffington Post (blog).<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
5. Mellow, Glendon (August 6, 2015). "Mathematically Precise Crosshatching". Scientific American (blog).<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
6. Knowles, Elizabeth (February 3, 2016). "When Math Transforms into Art". The Science Explorer.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>